Subgroups — C₂×#20288458 #28292516

Order 13568.

7206 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288458	C₂	1	32	yes	maximal, direct product factor
2	C₂×#16811345	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#16811340	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#16811329	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#16811327	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#16811310	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#16811309	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#16811308	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#16811306	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#16811306	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#16811305	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#16811305	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#16811302	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#16811300	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#16811297	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#16811296	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#16811252	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#16811243	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#16811239	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#16811232	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#16811232	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#16811195	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#16811179	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#16811177	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#16811156	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#16811151	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#16811131	C₂	1	1	yes	maximal, characteristic
28	C₂²×#13133195	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#16811102	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16811100	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#117×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅₃×#552	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂²×#11719947	C₂²	1	1	yes	characteristic
34	C₂³×Dic₁₀₆	C₂²	1	1	yes	characteristic
35	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic
36	#16811345	C₂²	1	16	yes	complemented
37	#16811340	C₂²	1	16	yes	complemented
38	#16811329	C₂²	1	16	yes	complemented
39	#16811327	C₂²	1	16	yes	complemented
40	#16811310	C₂²	1	16	yes	complemented
41	#16811309	C₂²	1	16	yes	complemented
42	#16811308	C₂²	1	16	yes	complemented
43	#16811306	C₂²	1	16	yes	complemented
44	#16811306	C₂²	1	16	yes	complemented
45	#16811305	C₂²	1	16	yes	complemented
46	#16811305	C₂²	1	16	yes	complemented
47	#16811302	C₂²	1	16	yes	complemented
48	#16811300	C₂²	1	16	yes	complemented
49	#16811297	C₂²	1	16	yes	complemented
50	#16811296	C₂²	1	16	yes	complemented
51	#16811252	C₂²	1	16	yes	complemented
52	#16811243	C₂²	1	16	yes	complemented
53	#16811239	C₂²	1	16	yes	complemented
54	#16811232	C₂²	1	16	yes	complemented
55	#16811232	C₂²	1	16	yes	complemented
56	#16811195	C₂²	1	16	yes	complemented
57	#16811179	C₂²	1	16	yes	complemented
58	#16811177	C₂²	1	16	yes	complemented
59	C₂×#13133216	C₂²	1	1	yes	characteristic, complemented
60	C₂×#13133216	C₂²	1	1	yes	characteristic, complemented
61	C₂×#13133216	C₂²	1	1	yes	characteristic, complemented
62	C₂×#13133216	C₂²	1	1	yes	characteristic, complemented
63	C₂×#13133215	C₂²	1	1	yes	characteristic, complemented
64	C₂×#13133215	C₂²	1	1	yes	characteristic, complemented
65	#16811156	C₂²	1	16	yes	complemented
66	#16811151	C₂²	1	16	yes	complemented
67	C₂×#13133212	C₂²	1	1	yes	characteristic
68	C₂×#13133212	C₂²	1	1	yes	characteristic
69	C₂×#13133212	C₂²	1	1	yes	characteristic
70	C₂×#13133212	C₂²	1	1	yes	characteristic
71	C₂×#13133212	C₂²	1	1	yes	characteristic
72	C₂×#13133212	C₂²	1	1	yes	characteristic
73	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
74	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
75	C₂×#13133212	C₂²	1	1	yes	characteristic, complemented
76	C₂×#13133211	C₂²	1	1	yes	characteristic
77	C₂×#13133211	C₂²	1	1	yes	characteristic
78	C₂×#13133211	C₂²	1	1	yes	characteristic, complemented
79	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
80	C₂×#13133210	C₂²	1	1	yes	characteristic, complemented
81	C₂×#13133209	C₂²	1	1	yes	characteristic, complemented
82	C₂×#13133208	C₂²	1	1	yes	characteristic, complemented
83	C₂×#13133208	C₂²	1	1	yes	characteristic, complemented
84	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
85	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
86	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
87	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
88	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
89	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
90	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
91	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
92	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
93	C₂×#13133207	C₂²	1	1	yes	characteristic, complemented
94	C₂×#13133206	C₂²	1	1	yes	characteristic
95	C₂×#13133205	C₂²	1	1	yes	characteristic
96	C₂×#13133203	C₂²	1	1	yes	characteristic
97	C₂×#13133203	C₂²	1	1	yes	characteristic
98	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
99	C₂×#13133203	C₂²	1	1	yes	characteristic, complemented
100	#16811131	C₂²	1	16	yes	—
101	C₂×#13133202	C₂²	1	1	yes	characteristic
102	C₂×#13133202	C₂²	1	1	yes	characteristic
103	C₂×#13133202	C₂²	1	1	yes	characteristic
104	C₂×#13133202	C₂²	1	1	yes	characteristic
105	C₂×#13133201	C₂²	1	1	yes	characteristic
106	C₂×#13133201	C₂²	1	1	yes	characteristic
107	C₂×#13133200	C₂²	1	1	yes	characteristic
108	C₂×#13133200	C₂²	1	1	yes	characteristic
109	C₂×#13133200	C₂²	1	1	yes	characteristic
110	C₂×#13133199	C₂²	1	1	yes	characteristic
111	C₂×#13133199	C₂²	1	1	yes	characteristic
112	C₂×#13133198	C₂²	1	1	yes	characteristic
113	C₂×#13133197	C₂²	1	1	yes	characteristic
114	C₂×#13133197	C₂²	1	1	yes	characteristic, complemented
115	C₂×#13133196	C₂²	1	1	yes	characteristic
116	C₂×#13133195	C₂²	1	1	yes	characteristic
117	C₂×#13133195	C₂²	1	1	yes	characteristic
118	C₂×#13133195	C₂²	1	1	yes	characteristic
119	C₂×#13133195	C₂²	1	1	yes	characteristic
120	C₂×#13133195	C₂²	1	1	yes	characteristic
121	C₂×#13133195	C₂²	1	1	yes	characteristic
122	C₂×#13133195	C₂²	1	1	yes	characteristic
123	C₂×#13133195	C₂²	1	1	yes	characteristic
124	C₂×#13133195	C₂²	1	1	yes	characteristic
125	C₂×#13133195	C₂²	1	1	yes	characteristic
126	C₂×#13133195	C₂²	1	1	yes	characteristic
127	C₂×#13133195	C₂²	1	1	yes	characteristic
128	C₂×#13133195	C₂²	1	16	yes	complemented
129	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
130	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
131	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
132	C₂×#13133194	C₂²	1	1	yes	characteristic
133	C₂×#13133194	C₂²	1	1	yes	characteristic
134	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
135	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
136	C₂×#13133194	C₂²	1	1	yes	characteristic, complemented
137	C₂×#13133193	C₂²	1	1	yes	characteristic
138	C₂×#13133190	C₂²	1	1	yes	characteristic
139	C₂×#13133190	C₂²	1	1	yes	characteristic
140	C₂×#13133187	C₂²	1	1	yes	characteristic
141	C₂×#13133185	C₂²	1	1	yes	characteristic
142	#16811102	C₂²	1	16	yes	complemented
143	#16811100	C₂²	1	16	yes	complemented
144	C₂×C₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
147	C₂×C₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
148	C₂×C₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
149	C₂×C₄×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
150	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
151	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
152	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
153	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
154	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
155	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
156	C₂×#13133182	C₂²	1	1	yes	characteristic, complemented
157	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic
158	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic
159	C₂×#13133179	C₂²	1	1	yes	characteristic
160	C₂×#13133179	C₂²	1	1	yes	characteristic
161	C₂×#13133179	C₂²	1	1	yes	characteristic
162	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
163	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
164	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
165	C₂×#13133177	C₂²	1	1	yes	characteristic
166	C₂×#13133177	C₂²	1	1	yes	characteristic
167	C₂×#13133177	C₂²	1	1	yes	characteristic
168	C₂×#13133177	C₂²	1	1	yes	characteristic
169	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
170	C₂×#13133176	C₂²	1	1	yes	characteristic
171	C₂×#13133176	C₂²	1	1	yes	characteristic
172	C₂×#13133175	C₂²	1	1	yes	characteristic
173	C₂×#13133175	C₂²	1	1	yes	characteristic
174	C₂×#13133175	C₂²	1	1	yes	characteristic
175	C₂×#13133175	C₂²	1	1	yes	characteristic
176	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
177	C₂×#13133174	C₂²	1	1	yes	characteristic
178	C₂×#13133174	C₂²	1	1	yes	characteristic
179	C₂×#13133174	C₂²	1	1	yes	characteristic
180	C₂×#13133174	C₂²	1	1	yes	characteristic
181	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
182	C₂×#13133174	C₂²	1	1	yes	characteristic, complemented
183	C₂×#13133173	C₂²	1	1	yes	characteristic
184	C₂×#13133173	C₂²	1	1	yes	characteristic
185	C₂×#13133173	C₂²	1	1	yes	characteristic
186	C₂×#13133173	C₂²	1	1	yes	characteristic
187	C₂×#13133173	C₂²	1	1	yes	characteristic
188	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
189	C₂×#13133173	C₂²	1	1	yes	characteristic, complemented
190	#117×D₅₃	C₂²	1	16	yes	complemented
191	C₂²×#11719919	C₂²	1	1	yes	characteristic
192	C₂²×#11719919	C₂²	1	1	yes	characteristic
193	C₂²×#11719919	C₂²	1	1	yes	characteristic, complemented
194	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
195	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
196	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
197	C₂²×#11719921	C₂²	1	1	yes	characteristic
198	C₂²×#11719921	C₂²	1	1	yes	characteristic
199	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
200	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
201	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic
202	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic
203	C₅₃×#552	C₂²	1	16	yes	complemented
204	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic, complemented
205	C₂×#126×C₅₃	C₂²	1	1	yes	characteristic, complemented
206	C₂×#125×C₅₃	C₂²	1	1	yes	characteristic, complemented
207	C₂×#125×C₅₃	C₂²	1	1	yes	characteristic, complemented
208	C₂×#125×C₅₃	C₂²	1	1	yes	characteristic, complemented
209	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
210	C₂×#123×C₅₃	C₂²	1	1	yes	characteristic
211	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic
212	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
213	C₂×C₄×Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
214	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic
215	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic
216	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic
217	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic, complemented
218	C₂²×C₄⋊C₄×C₅₃	C₂²	1	1	yes	characteristic
219	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
220	C₂×#11719947	—	2	8	no	—
221	C₂×#11719947	C₂³	1	8	yes	—
222	C₂²×Dic₁₀₆	—	2	8	no	—
223	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
224	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
225	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
226	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
227	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
228	C₂²×Dic₁₀₆	C₂³	1	8	yes	—
229	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
230	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
231	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
232	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
233	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
234	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
235	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
236	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
237	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
238	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
239	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
240	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
241	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
242	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
243	C₂²×C₄×D₅₃	—	2	8	no	—
244	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
245	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
246	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
247	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
248	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
249	C₂²×C₄×D₅₃	C₂³	1	8	yes	—
250	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
251	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
252	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
253	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
254	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
255	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
256	#13133216	C₂³	1	8	yes	complemented
257	#13133216	C₂³	1	8	yes	complemented
258	#13133216	C₂³	1	8	yes	complemented
259	#13133216	C₂³	1	8	yes	complemented
260	#13133215	C₂³	1	8	yes	complemented
261	#13133215	C₂³	1	8	yes	complemented
262	#13133212	C₂³	1	8	yes	—
263	#13133212	C₂³	1	8	yes	—
264	#13133212	C₂³	1	8	yes	—
265	#13133212	C₂³	1	8	yes	—
266	#13133212	C₂³	1	8	yes	—
267	#13133212	C₂³	1	8	yes	—
268	#13133212	C₂³	1	8	yes	complemented
269	#13133212	C₂³	1	8	yes	complemented
270	#13133212	C₂³	1	8	yes	complemented
271	#13133211	C₂³	1	8	yes	—
272	#13133211	C₂³	1	8	yes	—
273	#13133211	C₂³	1	8	yes	complemented
274	#13133210	C₂³	1	8	yes	complemented
275	#13133210	C₂³	1	8	yes	complemented
276	#13133209	C₂³	1	8	yes	complemented
277	#13133208	C₂³	1	8	yes	complemented
278	#13133208	C₂³	1	8	yes	complemented
279	#13133207	C₂³	1	8	yes	complemented
280	#13133207	C₂³	1	8	yes	complemented
281	#13133207	C₂³	1	8	yes	complemented
282	#13133207	C₂³	1	8	yes	complemented
283	#13133207	C₂³	1	8	yes	complemented
284	#13133207	C₂³	1	8	yes	complemented
285	#13133207	C₂³	1	8	yes	complemented
286	#13133207	C₂³	1	8	yes	complemented
287	#13133207	C₂³	1	8	yes	complemented
288	#13133207	C₂³	1	8	yes	complemented
289	#13133206	C₂³	1	8	yes	—
290	#13133205	C₂³	1	8	yes	—
291	#13133203	C₂³	1	8	yes	—
292	#13133203	C₂³	1	8	yes	—
293	#13133203	C₂³	1	8	yes	complemented
294	#13133203	C₂³	1	8	yes	complemented
295	#13133202	C₂³	1	8	yes	—
296	#13133202	C₂³	1	8	yes	—
297	#13133202	C₂³	1	8	yes	—
298	#13133202	C₂³	1	8	yes	—
299	#13133201	C₂³	1	8	yes	—
300	#13133201	C₂³	1	8	yes	—
301	#13133200	C₂³	1	8	yes	—
302	#13133200	C₂³	1	8	yes	—
303	#13133200	C₂³	1	8	yes	—
304	#13133199	C₂³	1	8	yes	—
305	#13133199	C₂³	1	8	yes	—
306	#13133198	C₂³	1	8	yes	—
307	#13133197	C₂³	1	8	yes	—
308	#13133197	C₂³	1	8	yes	complemented
309	#13133196	C₂³	1	8	yes	—
310	#13133195	C₂³	1	8	yes	—
311	#13133195	C₂³	1	8	yes	—
312	#13133195	C₂³	1	8	yes	—
313	#13133195	C₂³	1	8	yes	—
314	#13133195	C₂³	1	8	yes	—
315	#13133195	C₂³	1	8	yes	—
316	#13133195	C₂³	1	8	yes	—
317	#13133195	C₂³	1	8	yes	—
318	#13133195	C₂³	1	8	yes	—
319	#13133195	C₂³	1	8	yes	—
320	#13133195	C₂³	1	8	yes	—
321	#13133195	C₂³	1	8	yes	—
322	#13133195	C₂³	1	8	yes	complemented
323	#13133195	C₂³	1	8	yes	complemented
324	#13133195	C₂³	1	8	yes	complemented
325	#13133194	C₂³	1	8	yes	—
326	#13133194	C₂³	1	8	yes	—
327	#13133194	C₂³	1	8	yes	complemented
328	#13133194	C₂³	1	8	yes	complemented
329	#13133194	C₂³	1	8	yes	complemented
330	#13133193	C₂³	1	8	yes	—
331	#13133190	C₂³	1	8	yes	—
332	#13133190	C₂³	1	8	yes	—
333	#13133187	C₂³	1	8	yes	—
334	#13133185	C₂³	1	8	yes	—
335	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
336	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
337	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
338	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
339	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
340	C₄×Dic₁₀₆	C₂³	1	8	yes	complemented
341	#13133182	C₂³	1	8	yes	complemented
342	#13133182	C₂³	1	8	yes	complemented
343	#13133182	C₂³	1	8	yes	complemented
344	#13133182	C₂³	1	8	yes	complemented
345	#13133182	C₂³	1	8	yes	complemented
346	#13133182	C₂³	1	8	yes	complemented
347	#13133182	C₂³	1	8	yes	complemented
348	C₄×D₂₁₂	C₂³	1	8	yes	—
349	D₄×Dic₅₃	C₂³	1	8	yes	—
350	#13133179	C₂³	1	8	yes	—
351	#13133179	C₂³	1	8	yes	—
352	#13133179	C₂³	1	8	yes	—
353	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
354	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	—
355	C₄×C₂²⋊D₅₃	C₂³	1	8	yes	complemented
356	#13133177	C₂³	1	8	yes	—
357	#13133177	C₂³	1	8	yes	—
358	#13133177	C₂³	1	8	yes	—
359	#13133177	C₂³	1	8	yes	—
360	#13133177	C₂³	1	8	yes	complemented
361	#13133176	C₂³	1	8	yes	—
362	#13133176	C₂³	1	8	yes	—
363	#13133175	C₂³	1	8	yes	—
364	#13133175	C₂³	1	8	yes	—
365	#13133175	C₂³	1	8	yes	—
366	#13133175	C₂³	1	8	yes	—
367	#13133175	C₂³	1	8	yes	complemented
368	#13133174	C₂³	1	8	yes	—
369	#13133174	C₂³	1	8	yes	—
370	#13133174	C₂³	1	8	yes	—
371	#13133174	C₂³	1	8	yes	—
372	#13133174	C₂³	1	8	yes	complemented
373	#13133174	C₂³	1	8	yes	complemented
374	#13133173	C₂³	1	8	yes	—
375	#13133173	C₂³	1	8	yes	—
376	#13133173	C₂³	1	8	yes	—
377	#13133173	C₂³	1	8	yes	—
378	#13133173	C₂³	1	8	yes	—
379	#13133173	C₂³	1	8	yes	complemented
380	#13133173	C₂³	1	8	yes	complemented
381	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
382	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
383	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
384	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
385	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
386	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
387	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
388	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
389	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
390	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
391	C₂×#11719919	C₂³	1	8	yes	—
392	C₂×#11719919	C₂³	1	1	yes	characteristic
393	C₂×#11719919	C₂³	1	1	yes	characteristic
394	C₂×#11719919	C₂³	1	1	yes	characteristic
395	C₂×#11719919	C₂³	1	1	yes	characteristic
396	C₂×#11719919	C₂³	1	1	yes	characteristic
397	C₂×#11719919	C₂³	1	1	yes	characteristic
398	C₂×#11719919	C₂³	1	1	yes	characteristic
399	C₂×#11719919	C₂³	1	1	yes	characteristic
400	C₂×#11719919	C₂³	1	1	yes	characteristic
401	C₂×#11719919	C₂³	1	1	yes	characteristic
402	C₂×#11719919	C₂³	1	8	yes	—
403	C₂×#11719919	C₂³	1	1	yes	characteristic
404	C₂×#11719919	C₂³	1	1	yes	characteristic
405	C₂×#11719919	C₂³	1	1	yes	characteristic
406	C₂×#11719919	C₂³	1	1	yes	characteristic
407	C₂×#11719919	C₂³	1	1	yes	characteristic
408	C₂×#11719919	C₂³	1	1	yes	characteristic
409	C₂×#11719919	C₂³	1	1	yes	characteristic
410	C₂×#11719919	C₂³	1	1	yes	characteristic
411	C₂×#11719919	C₂³	1	1	yes	characteristic
412	C₂×#11719919	C₂³	1	1	yes	characteristic
413	C₂×#11719919	C₂³	1	1	yes	characteristic
414	C₂×#11719919	C₂³	1	1	yes	characteristic
415	C₂×#11719919	C₂³	1	1	yes	characteristic
416	C₂×#11719919	C₂³	1	1	yes	characteristic
417	C₂×#11719919	C₂³	1	1	yes	characteristic
418	C₂×#11719919	C₂³	1	1	yes	characteristic
419	C₂×#11719919	C₂³	1	1	yes	characteristic
420	C₂×#11719919	C₂³	1	1	yes	characteristic
421	C₂×#11719919	C₂³	1	1	yes	characteristic
422	C₂×#11719919	C₂³	1	1	yes	characteristic
423	C₂×#11719919	C₂³	1	1	yes	characteristic
424	C₂×#11719919	C₂³	1	1	yes	characteristic
425	C₂×#11719919	C₂³	1	8	yes	complemented
426	C₄⋊C₄×D₅₃	C₂³	1	8	yes	—
427	C₄⋊C₄×D₅₃	C₂³	1	8	yes	—
428	C₄⋊C₄×D₅₃	C₂³	1	8	yes	complemented
429	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
430	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
431	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
432	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
433	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
434	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
435	C₂×#11719921	C₂³	1	8	yes	—
436	C₂×#11719921	C₂³	1	8	yes	—
437	C₂×#11719921	C₂³	1	1	yes	characteristic
438	C₂×#11719921	C₂³	1	1	yes	characteristic
439	C₂×#11719921	C₂³	1	1	yes	characteristic
440	C₂×#11719921	C₂³	1	1	yes	characteristic
441	C₂×#11719921	C₂³	1	1	yes	characteristic
442	C₂×#11719921	C₂³	1	1	yes	characteristic
443	C₂×#11719921	C₂³	1	1	yes	characteristic
444	C₂×#11719921	C₂³	1	1	yes	characteristic
445	C₂×#11719921	C₂³	1	1	yes	characteristic
446	C₂×#11719921	C₂³	1	1	yes	characteristic
447	C₂×#11719921	C₂³	1	1	yes	characteristic
448	C₂×#11719921	C₂³	1	1	yes	characteristic
449	C₂×#11719921	C₂³	1	1	yes	characteristic
450	C₂×#11719921	C₂³	1	1	yes	characteristic
451	C₂×#11719921	C₂³	1	1	yes	characteristic
452	C₂×#11719921	C₂³	1	1	yes	characteristic
453	C₂×#11719921	C₂³	1	1	yes	characteristic
454	C₂×#11719921	C₂³	1	1	yes	characteristic
455	C₂×#11719921	C₂³	1	1	yes	characteristic
456	C₂×#11719921	C₂³	1	1	yes	characteristic
457	C₂×#11719921	C₂³	1	1	yes	characteristic
458	C₂×#11719921	C₂³	1	1	yes	characteristic
459	C₂×#11719921	C₂³	1	1	yes	characteristic
460	C₂×#11719921	C₂³	1	1	yes	characteristic
461	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
462	C₂²⋊C₄×D₅₃	C₂³	1	8	yes	—
463	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
464	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
465	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
466	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
467	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
468	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
469	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
470	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
471	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
472	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
473	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
474	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
475	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
476	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
477	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
478	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
479	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
480	C₄²×D₅₃	C₂³	1	8	yes	—
481	C₄²×D₅₃	C₂³	1	8	yes	—
482	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
483	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
484	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
485	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
486	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
487	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
488	#126×C₅₃	C₂³	1	8	yes	complemented
489	#126×C₅₃	C₂³	1	8	yes	complemented
490	#125×C₅₃	C₂³	1	8	yes	complemented
491	#125×C₅₃	C₂³	1	8	yes	complemented
492	#125×C₅₃	C₂³	1	8	yes	complemented
493	#123×C₅₃	C₂³	1	8	yes	—
494	#123×C₅₃	C₂³	1	8	yes	—
495	C₂²⋊Q₈×C₅₃	C₂³	1	8	yes	—
496	C₂²⋊Q₈×C₅₃	C₂³	1	8	yes	complemented
497	C₄×Q₈×C₅₃	C₂³	1	8	yes	complemented
498	C₄×D₄×C₅₃	C₂³	1	8	yes	—
499	#117×C₅₃	C₂³	1	8	yes	—
500	#117×C₅₃	C₂³	1	8	yes	—
501	#117×C₅₃	C₂³	1	8	yes	complemented
502	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
503	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
504	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
505	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
506	C₂×C₄⋊C₄×C₅₃	C₂³	1	8	yes	—
507	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
508	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
509	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
510	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
511	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
512	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
513	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
514	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
515	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
516	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
517	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
518	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
519	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
520	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
521	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
522	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
523	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
524	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
525	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
526	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
527	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
528	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
529	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
530	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
531	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
532	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
533	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
534	C₂³×D₅₃	—	2	4	no	—
535	C₂³×D₅₃	—	2	4	no	—
536	C₂³×D₅₃	—	4	2	no	—
537	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
538	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
539	C₂³×D₅₃	C₂⁴	1	4	yes	—
540	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
541	C₂×Q₈×C₅₃	—	4	2	no	—
542	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
543	C₂×D₄×C₅₃	—	2	4	no	—
544	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
545	C₂²×C₄×C₅₃	—	2	4	no	—
546	C₂²×C₄×C₅₃	—	2	4	no	—
547	C₂²×C₄×C₅₃	—	4	2	no	—
548	C₂²×C₄×C₅₃	—	4	2	no	—
549	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
556	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
558	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
559	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
560	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
561	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
562	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
563	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
564	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
565	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
566	C₂×C₂²⋊D₅₃	—	2	4	no	—
567	C₂×C₂²⋊D₅₃	—	2	4	no	—
568	C₂×C₂²⋊D₅₃	—	2	4	no	—
569	C₂×C₂²⋊D₅₃	—	4	2	no	—
570	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
571	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
572	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
573	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
574	C₂²×Dic₅₃	—	2	4	no	—
575	C₂²×Dic₅₃	—	2	4	no	—
576	C₂²×Dic₅₃	—	4	2	no	—
577	C₂²×Dic₅₃	—	4	2	no	—
578	C₂²×Dic₅₃	#41	1	8	yes	—
579	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
580	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
581	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
582	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
583	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
584	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
585	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
586	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
587	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
588	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
589	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
590	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
591	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
592	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
593	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
594	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
595	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
596	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
597	#11719947	—	2	32	no	—
598	C₂×D₂₁₂	—	2	4	no	—
599	C₂×D₂₁₂	—	4	2	no	—
600	C₂×D₂₁₂	C₂⁴	1	4	yes	—
601	C₂×D₂₁₂	C₂⁴	1	4	yes	—
602	C₂×C₄×D₅₃	—	2	4	no	—
603	C₂×C₄×D₅₃	—	2	4	no	—
604	C₂×C₄×D₅₃	—	2	4	no	—
605	C₂×C₄×D₅₃	—	2	4	no	—
606	C₂×C₄×D₅₃	—	2	4	no	—
607	C₂×C₄×D₅₃	—	2	4	no	—
608	C₂×C₄×D₅₃	—	2	32	no	—
609	C₂×C₄×D₅₃	—	2	4	no	—
610	C₂×C₄×D₅₃	—	4	2	no	—
611	C₂×C₄×D₅₃	—	4	2	no	—
612	C₂×C₄×D₅₃	—	4	2	no	—
613	C₂×C₄×D₅₃	—	4	2	no	—
614	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
615	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
616	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
617	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
618	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
619	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
620	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
621	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
622	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
623	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
624	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
625	C₂×Dic₁₀₆	—	2	4	no	—
626	C₂×Dic₁₀₆	—	2	4	no	—
627	C₂×Dic₁₀₆	—	2	4	no	—
628	C₂×Dic₁₀₆	—	2	4	no	—
629	C₂×Dic₁₀₆	—	2	32	no	—
630	C₂×Dic₁₀₆	—	2	4	no	—
631	C₂×Dic₁₀₆	—	4	2	no	—
632	C₂×Dic₁₀₆	—	4	2	no	—
633	C₂×Dic₁₀₆	—	4	2	no	—
634	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
635	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
636	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
637	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
638	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
639	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
640	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
641	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
642	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
643	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
644	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
645	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
646	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
647	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
648	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
649	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
650	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
651	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
652	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
653	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
654	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
655	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
656	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
657	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
658	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
659	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
660	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
661	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
662	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
663	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
664	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
665	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
666	C₄²×C₅₃	C₂⁴	1	4	yes	—
667	C₄²×C₅₃	C₂⁴	1	4	yes	—
668	C₄²×C₅₃	C₂⁴	1	4	yes	—
669	C₄²×C₅₃	C₂⁴	1	4	yes	—
670	C₄²×C₅₃	C₂⁴	1	4	yes	—
671	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
672	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
673	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
674	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
675	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
676	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
677	#11719921	C₂⁴	1	4	yes	—
678	#11719921	C₂⁴	1	4	yes	—
679	#11719921	C₂⁴	1	4	yes	—
680	#11719921	C₂⁴	1	4	yes	—
681	#11719921	C₂⁴	1	4	yes	—
682	#11719921	C₂⁴	1	4	yes	—
683	#11719921	C₂⁴	1	4	yes	—
684	#11719921	C₂⁴	1	4	yes	—
685	#11719921	C₂⁴	1	4	yes	—
686	#11719921	C₂⁴	1	4	yes	—
687	#11719921	C₂⁴	1	4	yes	—
688	#11719921	C₂⁴	1	4	yes	—
689	#11719921	C₂⁴	1	4	yes	—
690	#11719921	C₂⁴	1	4	yes	—
691	#11719921	C₂⁴	1	4	yes	—
692	#11719921	C₂⁴	1	4	yes	—
693	#11719921	C₂⁴	1	4	yes	—
694	#11719921	C₂⁴	1	4	yes	—
695	#11719921	C₂⁴	1	4	yes	—
696	#11719921	C₂⁴	1	4	yes	—
697	#11719921	C₂⁴	1	4	yes	—
698	#11719921	C₂⁴	1	4	yes	—
699	#11719921	C₂⁴	1	4	yes	—
700	#11719921	C₂⁴	1	4	yes	—
701	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
702	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
703	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
704	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
705	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
706	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
707	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
708	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
709	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
710	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
711	#11719919	C₂⁴	1	4	yes	—
712	#11719919	C₂⁴	1	4	yes	—
713	#11719919	C₂⁴	1	4	yes	—
714	#11719919	C₂⁴	1	4	yes	—
715	#11719919	C₂⁴	1	4	yes	—
716	#11719919	C₂⁴	1	4	yes	—
717	#11719919	C₂⁴	1	4	yes	—
718	#11719919	C₂⁴	1	4	yes	—
719	#11719919	C₂⁴	1	4	yes	—
720	#11719919	C₂⁴	1	4	yes	—
721	#11719919	C₂⁴	1	4	yes	—
722	#11719919	C₂⁴	1	4	yes	—
723	#11719919	C₂⁴	1	4	yes	—
724	#11719919	C₂⁴	1	4	yes	—
725	#11719919	C₂⁴	1	4	yes	—
726	#11719919	C₂⁴	1	4	yes	—
727	#11719919	C₂⁴	1	4	yes	—
728	#11719919	C₂⁴	1	4	yes	—
729	#11719919	C₂⁴	1	4	yes	—
730	#11719919	C₂⁴	1	4	yes	—
731	#11719919	C₂⁴	1	4	yes	—
732	#11719919	C₂⁴	1	4	yes	—
733	#11719919	C₂⁴	1	4	yes	—
734	#11719919	C₂⁴	1	4	yes	—
735	#11719919	C₂⁴	1	4	yes	—
736	#11719919	C₂⁴	1	4	yes	—
737	#11719919	C₂⁴	1	4	yes	—
738	#11719919	C₂⁴	1	4	yes	—
739	#11719919	C₂⁴	1	4	yes	—
740	#11719919	C₂⁴	1	4	yes	—
741	#11719919	C₂⁴	1	4	yes	—
742	#11719919	C₂⁴	1	4	yes	—
743	C₄×Dic₅₃	C₂⁴	1	4	yes	—
744	C₄×Dic₅₃	C₂⁴	1	4	yes	—
745	C₄×Dic₅₃	C₂⁴	1	4	yes	—
746	C₄×Dic₅₃	C₂⁴	1	4	yes	—
747	C₄×Dic₅₃	C₂⁴	1	4	yes	—
748	C₄×Dic₅₃	C₂⁴	1	4	yes	—
749	C₄×Dic₅₃	C₂⁴	1	4	yes	—
750	C₄×Dic₅₃	C₂⁴	1	4	yes	—
751	C₄×Dic₅₃	C₂⁴	1	4	yes	—
752	C₄×Dic₅₃	C₂⁴	1	4	yes	—
753	C₄×Dic₅₃	C₂⁴	1	4	yes	—
754	C₄×Dic₅₃	C₂⁴	1	4	yes	—
755	C₄×Dic₅₃	C₂⁴	1	4	yes	—
756	C₄×Dic₅₃	C₂⁴	1	4	yes	—
757	C₄×Dic₅₃	C₂⁴	1	4	yes	—
758	C₄×Dic₅₃	C₂⁴	1	4	yes	—
759	C₄×Dic₅₃	C₂⁴	1	4	yes	—
760	C₂³×C₅₃	—	2	2	no	—
761	C₂³×C₅₃	—	2	2	no	—
762	C₂³×C₅₃	—	2	2	no	—
763	C₂³×C₅₃	—	2	2	no	—
764	C₂³×C₅₃	—	2	2	no	—
765	C₂³×C₅₃	C₂×#41	1	4	yes	—
766	C₂³×C₅₃	C₂⁵	1	2	yes	—
767	C₂³×C₅₃	C₂⁵	1	2	yes	—
768	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
769	C₂²×D₅₃	—	2	2	no	—
770	C₂²×D₅₃	—	2	2	no	—
771	C₂²×D₅₃	—	2	8	no	—
772	C₂²×D₅₃	—	2	2	no	—
773	C₂²×D₅₃	—	2	2	no	—
774	C₂²×D₅₃	—	2	2	no	—
775	C₂²×D₅₃	—	2	2	no	—
776	C₂²×D₅₃	—	2	2	no	—
777	C₂²×D₅₃	—	2	2	no	—
778	C₂²×D₅₃	—	2	8	no	—
779	C₂²×D₅₃	—	4	4	no	—
780	C₂²×D₅₃	—	4	16	no	—
781	C₂²×D₅₃	2₋¹⁺⁴	1	4	yes	—
782	C₂²×D₅₃	C₂⁵	1	2	yes	—
783	C₂²×D₅₃	C₂⁵	1	2	yes	—
784	C₂²×D₅₃	C₂⁵	1	2	yes	—
785	Q₈×C₅₃	—	4	4	no	—
786	D₄×C₅₃	—	2	8	no	—
787	C₂×C₄×C₅₃	—	2	8	no	—
788	C₂×C₄×C₅₃	—	2	2	no	—
789	C₂×C₄×C₅₃	—	2	2	no	—
790	C₂×C₄×C₅₃	—	2	2	no	—
791	C₂×C₄×C₅₃	—	2	8	no	—
792	C₂×C₄×C₅₃	—	2	2	no	—
793	C₂×C₄×C₅₃	—	2	2	no	—
794	C₂×C₄×C₅₃	—	2	2	no	—
795	C₂×C₄×C₅₃	—	2	2	no	—
796	C₂×C₄×C₅₃	—	2	2	no	—
797	C₂×C₄×C₅₃	—	2	2	no	—
798	C₂×C₄×C₅₃	—	2	2	no	—
799	C₂×C₄×C₅₃	—	2	2	no	—
800	C₂×C₄×C₅₃	—	2	2	no	—
801	C₂×C₄×C₅₃	—	2	2	no	—
802	C₂×C₄×C₅₃	—	4	4	no	—
803	C₂×C₄×C₅₃	—	4	4	no	—
804	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
805	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
806	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
807	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
808	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
809	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
810	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
811	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
812	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
813	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
814	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
815	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
816	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
817	C₂²⋊D₅₃	—	2	8	no	—
818	C₂²⋊D₅₃	—	2	8	no	—
819	C₂²⋊D₅₃	—	2	8	no	—
820	C₂²⋊D₅₃	—	4	4	no	—
821	C₂×Dic₅₃	—	2	8	no	—
822	C₂×Dic₅₃	—	2	2	no	—
823	C₂×Dic₅₃	—	2	2	no	—
824	C₂×Dic₅₃	—	2	2	no	—
825	C₂×Dic₅₃	—	2	2	no	—
826	C₂×Dic₅₃	—	2	2	no	—
827	C₂×Dic₅₃	—	2	2	no	—
828	C₂×Dic₅₃	—	2	2	no	—
829	C₂×Dic₅₃	—	2	2	no	—
830	C₂×Dic₅₃	—	2	2	no	—
831	C₂×Dic₅₃	—	2	2	no	—
832	C₂×Dic₅₃	—	2	2	no	—
833	C₂×Dic₅₃	—	2	8	no	—
834	C₂×Dic₅₃	—	4	4	no	—
835	C₂×Dic₅₃	—	4	4	no	—
836	C₂×Dic₅₃	C₂×#41	1	4	yes	—
837	C₂×Dic₅₃	C₂×#41	1	4	yes	—
838	C₂×Dic₅₃	C₂×#41	1	16	yes	—
839	C₂×Dic₅₃	C₂⁵	1	2	yes	—
840	C₂×Dic₅₃	C₂⁵	1	2	yes	—
841	C₂×Dic₅₃	C₂⁵	1	2	yes	—
842	C₂×Dic₅₃	C₂⁵	1	2	yes	—
843	C₂×Dic₅₃	C₂⁵	1	2	yes	—
844	C₂×Dic₅₃	C₂⁵	1	2	yes	—
845	C₂×Dic₅₃	C₂⁵	1	2	yes	—
846	C₂×Dic₅₃	C₂⁵	1	2	yes	—
847	C₂×Dic₅₃	C₂⁵	1	2	yes	—
848	C₂×Dic₅₃	C₂⁵	1	2	yes	—
849	C₂×Dic₅₃	C₂⁵	1	2	yes	—
850	C₂×Dic₅₃	C₂⁵	1	2	yes	—
851	C₂×Dic₅₃	C₂⁵	1	2	yes	—
852	D₂₁₂	—	2	8	no	—
853	D₂₁₂	—	4	4	no	—
854	C₄×D₅₃	—	2	8	no	—
855	C₄×D₅₃	—	2	8	no	—
856	C₄×D₅₃	—	2	8	no	—
857	C₄×D₅₃	—	2	8	no	—
858	C₄×D₅₃	—	2	8	no	—
859	C₄×D₅₃	—	2	8	no	—
860	C₄×D₅₃	—	2	8	no	—
861	C₄×D₅₃	—	4	4	no	—
862	C₄×D₅₃	—	4	4	no	—
863	C₄×D₅₃	—	4	4	no	—
864	C₄×D₅₃	—	4	4	no	—
865	Dic₁₀₆	—	2	8	no	—
866	Dic₁₀₆	—	2	8	no	—
867	Dic₁₀₆	—	2	8	no	—
868	Dic₁₀₆	—	2	8	no	—
869	Dic₁₀₆	—	2	8	no	—
870	Dic₁₀₆	—	4	4	no	—
871	Dic₁₀₆	—	4	4	no	—
872	Dic₁₀₆	—	4	4	no	—
873	C₂×#3495	—	53	1	no	maximal, Sylow
874	C₂²×C₅₃	—	2	2	no	—
875	C₂²×C₅₃	—	2	2	no	—
876	C₂²×C₅₃	—	2	8	no	—
877	C₂²×C₅₃	—	2	2	no	—
878	C₂²×C₅₃	—	2	2	no	—
879	C₂²×C₅₃	—	2	2	no	—
880	C₂²×C₅₃	—	4	4	no	—
881	C₂²×C₅₃	C₂²×#41	1	4	yes	—
882	C₂²×C₅₃	C₂²×#41	1	2	yes	—
883	C₂²×C₅₃	C₂×2₋¹⁺⁴	1	2	yes	—
884	C₂²×C₅₃	#585	1	2	yes	—
885	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
886	C₂×D₅₃	—	2	2	no	—
887	C₂×D₅₃	—	2	2	no	—
888	C₂×D₅₃	—	2	8	no	—
889	C₂×D₅₃	—	2	2	no	—
890	C₂×D₅₃	—	2	2	no	—
891	C₂×D₅₃	—	2	2	no	—
892	C₂×D₅₃	—	2	2	no	—
893	C₂×D₅₃	—	2	2	no	—
894	C₂×D₅₃	—	2	2	no	—
895	C₂×D₅₃	—	4	16	no	—
896	C₂×D₅₃	—	4	4	no	—
897	C₂×D₅₃	—	4	4	no	—
898	C₂×D₅₃	C₂×2₋¹⁺⁴	1	4	yes	—
899	C₄×C₅₃	—	2	2	no	—
900	C₄×C₅₃	—	2	2	no	—
901	C₄×C₅₃	—	2	2	no	—
902	C₄×C₅₃	—	2	2	no	—
903	C₄×C₅₃	—	2	2	no	—
904	C₄×C₅₃	—	2	2	no	—
905	C₄×C₅₃	—	2	2	no	—
906	C₄×C₅₃	—	2	2	no	—
907	C₄×C₅₃	—	2	2	no	—
908	C₄×C₅₃	—	2	2	no	—
909	C₄×C₅₃	—	2	2	no	—
910	C₄×C₅₃	—	2	2	no	—
911	C₄×C₅₃	—	2	2	no	—
912	Dic₅₃	—	2	2	no	—
913	Dic₅₃	—	2	2	no	—
914	Dic₅₃	—	2	2	no	—
915	Dic₅₃	—	2	2	no	—
916	Dic₅₃	—	2	2	no	—
917	Dic₅₃	—	2	2	no	—
918	Dic₅₃	—	2	2	no	—
919	Dic₅₃	—	2	2	no	—
920	Dic₅₃	—	2	2	no	—
921	Dic₅₃	—	2	2	no	—
922	Dic₅₃	—	2	2	no	—
923	Dic₅₃	C₂²×#41	1	4	yes	—
924	Dic₅₃	C₂²×#41	1	4	yes	—
925	#3495	—	53	32	no	—
926	C₂×#556	—	53	1	no	—
927	C₂×#556	—	53	1	no	—
928	C₂×#554	—	53	1	no	—
929	C₂×#554	—	53	1	no	—
930	C₂×#552	—	53	1	no	—
931	C₂×#552	—	53	1	no	—
932	C₂×#552	—	53	1	no	—
933	C₂×#552	—	53	1	no	—
934	C₂×#552	—	53	1	no	—
935	C₂×#552	—	53	1	no	—
936	C₂×#552	—	53	1	no	—
937	C₂×#552	D₅₃	1	1	yes	characteristic, complemented
938	C₂×#551	—	53	1	no	—
939	C₂×#551	—	53	1	no	—
940	C₂×#551	—	53	1	no	—
941	C₂×#551	—	53	1	no	—
942	C₂×#544	—	53	1	no	—
943	C₂×#542	—	53	1	no	—
944	C₂×#542	—	53	1	no	—
945	C₂×#541	—	53	1	no	—
946	C₂×#541	—	53	1	no	—
947	C₂×#536	—	53	1	no	—
948	C₂×#533	—	53	1	no	—
949	C₂×#533	—	53	1	no	—
950	C₂×#529	—	53	1	no	—
951	C₂×#529	—	53	1	no	—
952	C₂×#525	—	53	1	no	—
953	C₂²×C₂²⋊Q₈	—	53	1	no	—
954	C₂×#520	—	53	1	no	—
955	C₂×#519	—	53	1	no	—
956	C₂²×#117	—	53	1	no	—
957	C₂×C₅₃	—	2	4	no	—
958	C₂×C₅₃	—	4	2	no	—
959	C₂×C₅₃	#3495	1	4	yes	complemented
960	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
961	C₂×C₅₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
962	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
963	D₅₃	—	2	4	no	—
964	D₅₃	—	4	2	no	—
965	D₅₃	—	4	2	no	—
966	C₂²×#41	—	53	1	no	—
967	C₂³×Q₈	—	53	1	no	—
968	C₂⁴×C₄	—	53	1	no	—
969	#556	—	53	16	no	—
970	#556	—	53	16	no	—
971	#554	—	53	16	no	—
972	#554	—	53	16	no	—
973	#552	—	53	16	no	—
974	#552	—	53	16	no	—
975	#552	—	53	16	no	—
976	#552	—	53	16	no	—
977	#552	—	53	16	no	—
978	#552	—	53	16	no	—
979	#552	—	53	16	no	—
980	#552	C₂×D₅₃	1	16	yes	complemented
981	#551	—	53	16	no	—
982	#551	—	53	16	no	—
983	#551	—	53	16	no	—
984	#551	—	53	16	no	—
985	#544	—	53	16	no	—
986	#542	—	53	16	no	—
987	#542	—	53	16	no	—
988	#541	—	53	16	no	—
989	#541	—	53	16	no	—
990	#536	—	53	16	no	—
991	#533	—	53	16	no	—
992	#533	—	53	16	no	—
993	C₂×C₄⋊Q₈	—	53	1	no	—
994	C₂×C₄⋊Q₈	—	53	1	no	—
995	C₂×C₄⋊Q₈	—	53	1	no	—
996	C₂×C₄⋊Q₈	—	53	1	no	—
997	C₂×C₄⋊Q₈	—	53	1	no	—
998	C₂×C₄⋊Q₈	—	53	1	no	—
999	#529	—	53	16	no	—
1000	#529	—	53	16	no	—
1001	C₂×#126	—	53	1	no	—
1002	C₂×#126	—	53	1	no	—
1003	C₂×#126	—	53	1	no	—
1004	C₂×#126	—	53	1	no	—
1005	C₂×#126	—	53	1	no	—
1006	C₂×#126	—	53	1	no	—
1007	C₂×#126	—	53	1	no	—
1008	C₂×#126	—	53	1	no	—
1009	C₂×#126	—	53	1	no	—
1010	C₂×#126	—	53	1	no	—
1011	C₂×#126	—	53	1	no	—
1012	C₂×#126	—	53	1	no	—
1013	C₂×#126	—	53	1	no	—
1014	C₂×#126	—	53	1	no	—
1015	C₂×#126	C₂×D₅₃	1	1	yes	characteristic, complemented
1016	C₂×#126	C₂×D₅₃	1	1	yes	characteristic, complemented
1017	C₂×#125	—	53	1	no	—
1018	C₂×#125	—	53	1	no	—
1019	C₂×#125	—	53	1	no	—
1020	C₂×#125	—	53	1	no	—
1021	C₂×#125	—	53	1	no	—
1022	C₂×#125	—	53	1	no	—
1023	C₂×#125	—	53	1	no	—
1024	C₂×#125	—	53	1	no	—
1025	C₂×#125	—	53	1	no	—
1026	C₂×#125	—	53	1	no	—
1027	C₂×#125	—	53	1	no	—
1028	C₂×#125	—	53	1	no	—
1029	C₂×#125	—	53	1	no	—
1030	C₂×#125	C₂×D₅₃	1	1	yes	characteristic, complemented
1031	C₂×#125	C₂×D₅₃	1	1	yes	characteristic, complemented
1032	C₂×#125	C₂×D₅₃	1	1	yes	characteristic, complemented
1033	C₂×#124	—	53	1	no	—
1034	C₂×#124	—	53	1	no	—
1035	C₂×#124	—	53	1	no	—
1036	C₂×#124	—	53	1	no	—
1037	C₂×#124	—	53	1	no	—
1038	C₂×#124	—	53	1	no	—
1039	#525	—	53	16	no	—
1040	C₂×#123	—	53	1	no	—
1041	C₂×#123	—	53	1	no	—
1042	C₂×#123	—	53	1	no	—
1043	C₂×#123	—	53	1	no	—
1044	C₂×#123	—	53	1	no	—
1045	C₂×#123	—	53	1	no	—
1046	C₂×#123	—	53	1	no	—
1047	C₂×#123	—	53	1	no	—
1048	C₂×#123	—	53	1	no	—
1049	C₂×#123	—	53	1	no	—
1050	C₂×#123	—	53	1	no	—
1051	C₂×#123	—	53	1	no	—
1052	C₂×#123	C₂×D₅₃	1	1	yes	characteristic
1053	C₂×#123	C₂×D₅₃	1	1	yes	characteristic
1054	C₂×C₂²⋊Q₈	—	53	1	no	—
1055	C₂×C₂²⋊Q₈	—	53	1	no	—
1056	C₂×C₂²⋊Q₈	—	53	1	no	—
1057	C₂×C₂²⋊Q₈	—	53	1	no	—
1058	C₂×C₂²⋊Q₈	—	53	1	no	—
1059	C₂×C₂²⋊Q₈	—	53	1	no	—
1060	C₂×C₂²⋊Q₈	—	53	1	no	—
1061	C₂×C₂²⋊Q₈	—	53	1	no	—
1062	C₂×C₂²⋊Q₈	—	53	1	no	—
1063	C₂×C₂²⋊Q₈	—	53	1	no	—
1064	C₂×C₂²⋊Q₈	—	53	16	no	—
1065	C₂×C₂²⋊Q₈	—	53	1	no	—
1066	C₂×C₂²⋊Q₈	—	53	1	no	—
1067	C₂×C₂²⋊Q₈	—	53	1	no	—
1068	C₂×C₂²⋊Q₈	—	53	1	no	—
1069	C₂×C₂²⋊Q₈	—	53	1	no	—
1070	C₂×C₂²⋊Q₈	—	53	1	no	—
1071	C₂×C₂²⋊Q₈	—	53	1	no	—
1072	C₂×C₂²⋊Q₈	—	53	1	no	—
1073	C₂×C₂²⋊Q₈	—	53	1	no	—
1074	C₂×C₂²⋊Q₈	—	53	1	no	—
1075	C₂×C₂²⋊Q₈	—	53	1	no	—
1076	C₂×C₂²⋊Q₈	—	53	1	no	—
1077	C₂×C₂²⋊Q₈	—	53	1	no	—
1078	C₂×C₂²⋊Q₈	—	53	1	no	—
1079	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic
1080	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1081	C₂×#121	—	53	1	no	—
1082	C₂×#121	—	53	1	no	—
1083	C₂×#120	—	53	1	no	—
1084	C₂×#120	—	53	1	no	—
1085	#520	—	53	16	no	—
1086	#519	—	53	16	no	—
1087	C₂×C₄×Q₈	—	53	1	no	—
1088	C₂×C₄×Q₈	—	53	1	no	—
1089	C₂×C₄×Q₈	—	53	1	no	—
1090	C₂×C₄×Q₈	—	53	1	no	—
1091	C₂×C₄×Q₈	—	53	1	no	—
1092	C₂×C₄×Q₈	—	53	1	no	—
1093	C₂×C₄×Q₈	—	53	1	no	—
1094	C₂×C₄×Q₈	—	53	1	no	—
1095	C₂×C₄×Q₈	—	53	1	no	—
1096	C₂×C₄×Q₈	—	53	1	no	—
1097	C₂×C₄×Q₈	—	53	1	no	—
1098	C₂×C₄×Q₈	—	53	1	no	—
1099	C₂×C₄×Q₈	—	53	1	no	—
1100	C₂×C₄×Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1101	C₂×C₄×D₄	—	53	1	no	—
1102	C₂×C₄×D₄	—	53	1	no	—
1103	C₂×C₄×D₄	—	53	1	no	—
1104	C₂×C₄×D₄	—	53	1	no	—
1105	C₂×C₄×D₄	—	53	1	no	—
1106	C₂×C₄×D₄	—	53	1	no	—
1107	C₂×C₄×D₄	—	53	1	no	—
1108	C₂×C₄×D₄	—	53	1	no	—
1109	C₂×C₄×D₄	—	53	1	no	—
1110	C₂×C₄×D₄	—	53	1	no	—
1111	C₂×C₄×D₄	—	53	1	no	—
1112	C₂×C₄×D₄	—	53	1	no	—
1113	C₂×C₄×D₄	—	53	1	no	—
1114	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic
1115	C₂×#117	—	53	1	no	—
1116	C₂×#117	—	53	1	no	—
1117	C₂×#117	—	53	16	no	—
1118	C₂×#117	—	53	1	no	—
1119	C₂×#117	—	53	1	no	—
1120	C₂×#117	—	53	1	no	—
1121	C₂×#117	—	53	1	no	—
1122	C₂×#117	—	53	1	no	—
1123	C₂×#117	—	53	1	no	—
1124	C₂×#117	—	53	1	no	—
1125	C₂×#117	—	53	1	no	—
1126	C₂×#117	—	53	1	no	—
1127	C₂×#117	—	53	1	no	—
1128	C₂×#117	—	53	1	no	—
1129	C₂×#117	—	53	1	no	—
1130	C₂×#117	—	53	1	no	—
1131	C₂×#117	—	53	1	no	—
1132	C₂×#117	—	53	1	no	—
1133	C₂×#117	—	53	1	no	—
1134	C₂×#117	—	53	1	no	—
1135	C₂×#117	—	53	1	no	—
1136	C₂×#117	C₂×D₅₃	1	1	yes	characteristic
1137	C₂×#117	C₂×D₅₃	1	1	yes	characteristic
1138	C₂×#117	C₂×D₅₃	1	1	yes	characteristic, complemented
1139	C₂²×C₄⋊C₄	—	53	1	no	—
1140	C₂²×C₄⋊C₄	—	53	1	no	—
1141	C₂²×C₄⋊C₄	—	53	1	no	—
1142	C₂²×C₄⋊C₄	—	53	1	no	—
1143	C₂²×C₄⋊C₄	—	53	1	no	—
1144	C₂²×C₄⋊C₄	—	53	1	no	—
1145	C₂²×C₄⋊C₄	C₂×D₅₃	1	1	yes	characteristic
1146	C₂²×C₂²⋊C₄	—	53	1	no	—
1147	C₂²×C₂²⋊C₄	—	53	1	no	—
1148	C₂²×C₂²⋊C₄	—	53	1	no	—
1149	C₂²×C₂²⋊C₄	—	53	1	no	—
1150	C₂²×C₄²	—	53	1	no	—
1151	C₂²×C₄²	—	53	1	no	—
1152	C₅₃	C₂×#3495	1	1	yes	characteristic, complemented, Sylow
1153	C₂⁵	—	53	1	no	—
1154	C₂×#41	—	53	8	no	—
1155	C₂×#41	—	106	8	no	—
1156	C₂²×Q₈	—	53	1	no	—
1157	C₂²×Q₈	—	53	1	no	—
1158	C₂²×Q₈	—	53	1	no	—
1159	C₂²×Q₈	—	53	1	no	—
1160	C₂²×Q₈	—	53	1	no	—
1161	C₂²×Q₈	—	53	8	no	—
1162	C₂²×Q₈	—	53	1	no	—
1163	C₂²×Q₈	—	53	1	no	—
1164	C₂²×Q₈	—	53	1	no	—
1165	C₂²×Q₈	—	106	8	no	—
1166	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1167	C₂²×D₄	—	53	1	no	—
1168	C₂²×D₄	—	53	1	no	—
1169	C₂²×D₄	—	53	1	no	—
1170	C₂²×D₄	—	53	1	no	—
1171	C₂²×D₄	—	53	1	no	—
1172	C₂²×D₄	—	53	1	no	—
1173	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1174	C₂³×C₄	—	53	1	no	—
1175	C₂³×C₄	—	53	1	no	—
1176	C₂³×C₄	—	53	1	no	—
1177	C₂³×C₄	—	53	1	no	—
1178	C₂³×C₄	—	53	1	no	—
1179	C₂³×C₄	—	53	1	no	—
1180	C₂³×C₄	—	53	1	no	—
1181	C₂³×C₄	—	53	1	no	—
1182	C₂³×C₄	—	53	1	no	—
1183	C₂³×C₄	—	53	1	no	—
1184	C₂³×C₄	—	53	1	no	—
1185	C₂³×C₄	—	53	8	no	—
1186	C₂³×C₄	—	53	1	no	—
1187	C₂³×C₄	—	53	1	no	—
1188	C₂³×C₄	—	53	1	no	—
1189	C₂³×C₄	—	53	1	no	—
1190	C₂³×C₄	—	53	1	no	—
1191	C₂³×C₄	—	106	8	no	—
1192	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1193	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1194	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1195	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1196	C₄⋊Q₈	—	53	8	no	—
1197	C₄⋊Q₈	—	53	8	no	—
1198	C₄⋊Q₈	—	53	8	no	—
1199	C₄⋊Q₈	—	53	8	no	—
1200	C₄⋊Q₈	—	53	8	no	—
1201	C₄⋊Q₈	—	53	8	no	—
1202	#126	—	53	8	no	—
1203	#126	—	53	8	no	—
1204	#126	—	53	8	no	—
1205	#126	—	53	8	no	—
1206	#126	—	53	8	no	—
1207	#126	—	53	8	no	—
1208	#126	—	53	8	no	—
1209	#126	—	53	8	no	—
1210	#126	—	53	8	no	—
1211	#126	—	53	8	no	—
1212	#126	—	53	8	no	—
1213	#126	—	53	8	no	—
1214	#126	—	53	8	no	—
1215	#126	—	53	8	no	—
1216	#126	C₂²×D₅₃	1	8	yes	complemented
1217	#126	C₂²×D₅₃	1	8	yes	complemented
1218	#125	—	53	8	no	—
1219	#125	—	53	8	no	—
1220	#125	—	53	8	no	—
1221	#125	—	53	8	no	—
1222	#125	—	53	8	no	—
1223	#125	—	53	8	no	—
1224	#125	—	53	8	no	—
1225	#125	—	53	8	no	—
1226	#125	—	53	8	no	—
1227	#125	—	53	8	no	—
1228	#125	—	53	8	no	—
1229	#125	—	53	8	no	—
1230	#125	—	53	8	no	—
1231	#125	C₂²×D₅₃	1	8	yes	complemented
1232	#125	C₂²×D₅₃	1	8	yes	complemented
1233	#125	C₂²×D₅₃	1	8	yes	complemented
1234	#124	—	53	8	no	—
1235	#124	—	53	8	no	—
1236	#124	—	53	8	no	—
1237	#124	—	53	8	no	—
1238	#124	—	53	8	no	—
1239	#124	—	53	8	no	—
1240	#123	—	53	8	no	—
1241	#123	—	53	8	no	—
1242	#123	—	53	8	no	—
1243	#123	—	53	8	no	—
1244	#123	—	53	8	no	—
1245	#123	—	53	8	no	—
1246	#123	—	53	8	no	—
1247	#123	—	53	8	no	—
1248	#123	—	53	8	no	—
1249	#123	—	53	8	no	—
1250	#123	—	53	8	no	—
1251	#123	—	53	8	no	—
1252	#123	C₂²×D₅₃	1	8	yes	—
1253	#123	C₂²×D₅₃	1	8	yes	—
1254	C₂²⋊Q₈	—	53	8	no	—
1255	C₂²⋊Q₈	—	53	8	no	—
1256	C₂²⋊Q₈	—	53	8	no	—
1257	C₂²⋊Q₈	—	53	8	no	—
1258	C₂²⋊Q₈	—	53	8	no	—
1259	C₂²⋊Q₈	—	53	8	no	—
1260	C₂²⋊Q₈	—	53	8	no	—
1261	C₂²⋊Q₈	—	53	8	no	—
1262	C₂²⋊Q₈	—	53	8	no	—
1263	C₂²⋊Q₈	—	53	8	no	—
1264	C₂²⋊Q₈	—	53	8	no	—
1265	C₂²⋊Q₈	—	53	8	no	—
1266	C₂²⋊Q₈	—	53	8	no	—
1267	C₂²⋊Q₈	—	53	8	no	—
1268	C₂²⋊Q₈	—	53	8	no	—
1269	C₂²⋊Q₈	—	53	8	no	—
1270	C₂²⋊Q₈	—	53	8	no	—
1271	C₂²⋊Q₈	—	53	8	no	—
1272	C₂²⋊Q₈	—	53	8	no	—
1273	C₂²⋊Q₈	—	53	8	no	—
1274	C₂²⋊Q₈	—	53	8	no	—
1275	C₂²⋊Q₈	—	53	8	no	—
1276	C₂²⋊Q₈	—	53	8	no	—
1277	C₂²⋊Q₈	—	53	8	no	—
1278	C₂²⋊Q₈	C₂²×D₅₃	1	8	yes	—
1279	C₂²⋊Q₈	C₂²×D₅₃	1	8	yes	complemented
1280	#121	—	53	8	no	—
1281	#121	—	53	8	no	—
1282	#120	—	53	8	no	—
1283	#120	—	53	8	no	—
1284	C₄×Q₈	—	53	8	no	—
1285	C₄×Q₈	—	53	8	no	—
1286	C₄×Q₈	—	53	8	no	—
1287	C₄×Q₈	—	53	8	no	—
1288	C₄×Q₈	—	53	8	no	—
1289	C₄×Q₈	—	53	8	no	—
1290	C₄×Q₈	—	53	8	no	—
1291	C₄×Q₈	—	53	8	no	—
1292	C₄×Q₈	—	53	8	no	—
1293	C₄×Q₈	—	53	8	no	—
1294	C₄×Q₈	—	53	8	no	—
1295	C₄×Q₈	—	53	8	no	—
1296	C₄×Q₈	—	53	8	no	—
1297	C₄×Q₈	C₂²×D₅₃	1	8	yes	complemented
1298	C₄×D₄	—	53	8	no	—
1299	C₄×D₄	—	53	8	no	—
1300	C₄×D₄	—	53	8	no	—
1301	C₄×D₄	—	53	8	no	—
1302	C₄×D₄	—	53	8	no	—
1303	C₄×D₄	—	53	8	no	—
1304	C₄×D₄	—	53	8	no	—
1305	C₄×D₄	—	53	8	no	—
1306	C₄×D₄	—	53	8	no	—
1307	C₄×D₄	—	53	8	no	—
1308	C₄×D₄	—	53	8	no	—
1309	C₄×D₄	—	53	8	no	—
1310	C₄×D₄	—	53	8	no	—
1311	C₄×D₄	C₂²×D₅₃	1	8	yes	—
1312	#117	—	53	8	no	—
1313	#117	—	53	8	no	—
1314	#117	—	53	8	no	—
1315	#117	—	53	8	no	—
1316	#117	—	53	8	no	—
1317	#117	—	53	8	no	—
1318	#117	—	53	8	no	—
1319	#117	—	53	8	no	—
1320	#117	—	53	8	no	—
1321	#117	—	53	8	no	—
1322	#117	—	53	8	no	—
1323	#117	—	53	8	no	—
1324	#117	—	53	8	no	—
1325	#117	—	53	8	no	—
1326	#117	—	53	8	no	—
1327	#117	—	53	8	no	—
1328	#117	—	53	8	no	—
1329	#117	—	53	8	no	—
1330	#117	—	53	8	no	—
1331	#117	—	53	8	no	—
1332	#117	C₂²×D₅₃	1	8	yes	—
1333	#117	C₂²×D₅₃	1	8	yes	—
1334	#117	C₂²×D₅₃	1	8	yes	complemented
1335	C₂×C₄⋊C₄	—	53	1	no	—
1336	C₂×C₄⋊C₄	—	53	1	no	—
1337	C₂×C₄⋊C₄	—	53	1	no	—
1338	C₂×C₄⋊C₄	—	53	1	no	—
1339	C₂×C₄⋊C₄	—	53	1	no	—
1340	C₂×C₄⋊C₄	—	53	1	no	—
1341	C₂×C₄⋊C₄	—	53	1	no	—
1342	C₂×C₄⋊C₄	—	53	1	no	—
1343	C₂×C₄⋊C₄	—	53	1	no	—
1344	C₂×C₄⋊C₄	—	53	1	no	—
1345	C₂×C₄⋊C₄	—	53	1	no	—
1346	C₂×C₄⋊C₄	—	53	1	no	—
1347	C₂×C₄⋊C₄	—	53	1	no	—
1348	C₂×C₄⋊C₄	—	53	1	no	—
1349	C₂×C₄⋊C₄	—	53	1	no	—
1350	C₂×C₄⋊C₄	—	53	8	no	—
1351	C₂×C₄⋊C₄	—	53	8	no	—
1352	C₂×C₄⋊C₄	—	53	1	no	—
1353	C₂×C₄⋊C₄	—	53	1	no	—
1354	C₂×C₄⋊C₄	—	53	8	no	—
1355	C₂×C₄⋊C₄	—	53	1	no	—
1356	C₂×C₄⋊C₄	—	53	1	no	—
1357	C₂×C₄⋊C₄	—	53	1	no	—
1358	C₂×C₄⋊C₄	—	53	1	no	—
1359	C₂×C₄⋊C₄	—	53	1	no	—
1360	C₂×C₄⋊C₄	—	53	1	no	—
1361	C₂×C₄⋊C₄	—	53	1	no	—
1362	C₂×C₄⋊C₄	—	53	1	no	—
1363	C₂×C₄⋊C₄	—	53	1	no	—
1364	C₂×C₄⋊C₄	—	53	1	no	—
1365	C₂×C₄⋊C₄	—	53	1	no	—
1366	C₂×C₄⋊C₄	—	53	1	no	—
1367	C₂×C₄⋊C₄	—	53	1	no	—
1368	C₂×C₄⋊C₄	—	53	1	no	—
1369	C₂×C₄⋊C₄	—	53	1	no	—
1370	C₂×C₄⋊C₄	—	53	1	no	—
1371	C₂×C₄⋊C₄	—	53	1	no	—
1372	C₂×C₄⋊C₄	—	53	1	no	—
1373	C₂×C₄⋊C₄	—	53	1	no	—
1374	C₂×C₄⋊C₄	—	53	1	no	—
1375	C₂×C₄⋊C₄	—	53	1	no	—
1376	C₂×C₄⋊C₄	—	53	1	no	—
1377	C₂×C₄⋊C₄	—	53	1	no	—
1378	C₂×C₄⋊C₄	—	53	1	no	—
1379	C₂×C₄⋊C₄	—	53	1	no	—
1380	C₂×C₄⋊C₄	—	53	8	no	—
1381	C₂×C₄⋊C₄	—	53	8	no	—
1382	C₂×C₄⋊C₄	—	53	8	no	—
1383	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1384	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1385	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1386	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1387	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1388	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1389	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1390	C₂×C₄⋊C₄	C₂²×D₅₃	1	8	yes	—
1391	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1392	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1393	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1394	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1395	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1396	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1397	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1398	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1399	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1400	C₂×C₂²⋊C₄	—	53	1	no	—
1401	C₂×C₂²⋊C₄	—	53	1	no	—
1402	C₂×C₂²⋊C₄	—	53	1	no	—
1403	C₂×C₂²⋊C₄	—	53	1	no	—
1404	C₂×C₂²⋊C₄	—	53	1	no	—
1405	C₂×C₂²⋊C₄	—	53	1	no	—
1406	C₂×C₂²⋊C₄	—	53	1	no	—
1407	C₂×C₂²⋊C₄	—	53	1	no	—
1408	C₂×C₂²⋊C₄	—	53	1	no	—
1409	C₂×C₂²⋊C₄	—	53	1	no	—
1410	C₂×C₂²⋊C₄	—	53	1	no	—
1411	C₂×C₂²⋊C₄	—	53	1	no	—
1412	C₂×C₂²⋊C₄	—	53	1	no	—
1413	C₂×C₂²⋊C₄	—	53	1	no	—
1414	C₂×C₂²⋊C₄	—	53	1	no	—
1415	C₂×C₂²⋊C₄	—	53	1	no	—
1416	C₂×C₂²⋊C₄	—	53	1	no	—
1417	C₂×C₂²⋊C₄	—	53	1	no	—
1418	C₂×C₂²⋊C₄	—	53	8	no	—
1419	C₂×C₂²⋊C₄	—	53	8	no	—
1420	C₂×C₂²⋊C₄	—	53	1	no	—
1421	C₂×C₂²⋊C₄	—	53	1	no	—
1422	C₂×C₂²⋊C₄	—	53	1	no	—
1423	C₂×C₂²⋊C₄	—	53	1	no	—
1424	C₂×C₂²⋊C₄	—	53	1	no	—
1425	C₂×C₂²⋊C₄	—	53	1	no	—
1426	C₂×C₂²⋊C₄	—	53	1	no	—
1427	C₂×C₂²⋊C₄	—	53	1	no	—
1428	C₂×C₂²⋊C₄	—	53	1	no	—
1429	C₂×C₂²⋊C₄	—	53	1	no	—
1430	C₂×C₂²⋊C₄	—	53	1	no	—
1431	C₂×C₂²⋊C₄	—	53	1	no	—
1432	C₂×C₂²⋊C₄	—	53	8	no	—
1433	C₂×C₂²⋊C₄	—	53	8	no	—
1434	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1435	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1436	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1437	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1438	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1439	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1440	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1441	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1442	C₂×C₄²	—	53	1	no	—
1443	C₂×C₄²	—	53	1	no	—
1444	C₂×C₄²	—	53	1	no	—
1445	C₂×C₄²	—	53	1	no	—
1446	C₂×C₄²	—	53	1	no	—
1447	C₂×C₄²	—	53	1	no	—
1448	C₂×C₄²	—	53	1	no	—
1449	C₂×C₄²	—	53	1	no	—
1450	C₂×C₄²	—	53	1	no	—
1451	C₂×C₄²	—	53	1	no	—
1452	C₂×C₄²	—	53	1	no	—
1453	C₂×C₄²	—	53	1	no	—
1454	C₂×C₄²	—	53	1	no	—
1455	C₂×C₄²	—	53	1	no	—
1456	C₂×C₄²	—	53	1	no	—
1457	C₂×C₄²	—	53	1	no	—
1458	C₂×C₄²	—	53	1	no	—
1459	C₂×C₄²	—	53	8	no	—
1460	C₂×C₄²	—	53	8	no	—
1461	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1462	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1463	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1464	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1465	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1466	C₂⁴	—	53	1	no	—
1467	C₂⁴	—	53	1	no	—
1468	C₂⁴	—	53	1	no	—
1469	C₂⁴	—	53	4	no	—
1470	C₂⁴	—	106	4	no	—
1471	C₂⁴	—	106	4	no	—
1472	C₂⁴	—	212	2	no	—
1473	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1474	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1475	#41	—	106	32	no	—
1476	C₂×Q₈	—	4	2	no	—
1477	C₂×Q₈	—	53	4	no	—
1478	C₂×Q₈	—	53	4	no	—
1479	C₂×Q₈	—	53	4	no	—
1480	C₂×Q₈	—	53	4	no	—
1481	C₂×Q₈	—	53	4	no	—
1482	C₂×Q₈	—	53	4	no	—
1483	C₂×Q₈	—	53	4	no	—
1484	C₂×Q₈	—	53	4	no	—
1485	C₂×Q₈	—	106	4	no	—
1486	C₂×Q₈	—	106	4	no	—
1487	C₂×Q₈	—	106	4	no	—
1488	C₂×Q₈	—	106	4	no	—
1489	C₂×Q₈	—	106	32	no	—
1490	C₂×Q₈	—	106	4	no	—
1491	C₂×Q₈	—	212	2	no	—
1492	C₂×Q₈	—	212	2	no	—
1493	C₂×Q₈	—	212	2	no	—
1494	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
1495	C₂×D₄	—	2	4	no	—
1496	C₂×D₄	—	53	4	no	—
1497	C₂×D₄	—	53	4	no	—
1498	C₂×D₄	—	53	4	no	—
1499	C₂×D₄	—	53	4	no	—
1500	C₂×D₄	—	53	4	no	—
1501	C₂×D₄	—	53	4	no	—
1502	C₂×D₄	—	106	4	no	—
1503	C₂×D₄	—	106	4	no	—
1504	C₂×D₄	—	106	4	no	—
1505	C₂×D₄	—	106	4	no	—
1506	C₂×D₄	—	212	2	no	—
1507	C₂×D₄	—	212	2	no	—
1508	C₂×D₄	C₂³×D₅₃	1	4	yes	—
1509	C₂²×C₄	—	2	4	no	—
1510	C₂²×C₄	—	2	4	no	—
1511	C₂²×C₄	—	4	2	no	—
1512	C₂²×C₄	—	4	2	no	—
1513	C₂²×C₄	—	53	8	no	—
1514	C₂²×C₄	—	53	4	no	—
1515	C₂²×C₄	—	53	1	no	—
1516	C₂²×C₄	—	53	1	no	—
1517	C₂²×C₄	—	53	4	no	—
1518	C₂²×C₄	—	53	4	no	—
1519	C₂²×C₄	—	53	1	no	—
1520	C₂²×C₄	—	53	1	no	—
1521	C₂²×C₄	—	53	1	no	—
1522	C₂²×C₄	—	53	1	no	—
1523	C₂²×C₄	—	53	1	no	—
1524	C₂²×C₄	—	53	1	no	—
1525	C₂²×C₄	—	53	1	no	—
1526	C₂²×C₄	—	53	1	no	—
1527	C₂²×C₄	—	53	1	no	—
1528	C₂²×C₄	—	53	1	no	—
1529	C₂²×C₄	—	53	1	no	—
1530	C₂²×C₄	—	53	4	no	—
1531	C₂²×C₄	—	53	4	no	—
1532	C₂²×C₄	—	53	4	no	—
1533	C₂²×C₄	—	53	4	no	—
1534	C₂²×C₄	—	53	4	no	—
1535	C₂²×C₄	—	53	4	no	—
1536	C₂²×C₄	—	53	4	no	—
1537	C₂²×C₄	—	53	4	no	—
1538	C₂²×C₄	—	53	4	no	—
1539	C₂²×C₄	—	53	4	no	—
1540	C₂²×C₄	—	53	4	no	—
1541	C₂²×C₄	—	53	4	no	—
1542	C₂²×C₄	—	53	4	no	—
1543	C₂²×C₄	—	106	4	no	—
1544	C₂²×C₄	—	106	4	no	—
1545	C₂²×C₄	—	106	4	no	—
1546	C₂²×C₄	—	106	4	no	—
1547	C₂²×C₄	—	106	32	no	—
1548	C₂²×C₄	—	106	4	no	—
1549	C₂²×C₄	—	106	4	no	—
1550	C₂²×C₄	—	106	4	no	—
1551	C₂²×C₄	—	106	4	no	—
1552	C₂²×C₄	—	106	4	no	—
1553	C₂²×C₄	—	212	2	no	—
1554	C₂²×C₄	—	212	2	no	—
1555	C₂²×C₄	—	212	2	no	—
1556	C₂²×C₄	—	212	2	no	—
1557	C₂²×C₄	—	212	2	no	—
1558	C₂²×C₄	—	212	2	no	—
1559	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1560	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1561	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1562	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1563	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1564	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1565	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1566	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1567	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1568	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1569	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1570	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1571	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1572	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1573	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1574	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1575	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
1576	C₄⋊C₄	—	53	4	no	—
1577	C₄⋊C₄	—	53	4	no	—
1578	C₄⋊C₄	—	53	4	no	—
1579	C₄⋊C₄	—	53	4	no	—
1580	C₄⋊C₄	—	53	4	no	—
1581	C₄⋊C₄	—	53	4	no	—
1582	C₄⋊C₄	—	53	4	no	—
1583	C₄⋊C₄	—	53	4	no	—
1584	C₄⋊C₄	—	53	4	no	—
1585	C₄⋊C₄	—	53	4	no	—
1586	C₄⋊C₄	—	53	4	no	—
1587	C₄⋊C₄	—	53	4	no	—
1588	C₄⋊C₄	—	53	4	no	—
1589	C₄⋊C₄	—	53	4	no	—
1590	C₄⋊C₄	—	53	4	no	—
1591	C₄⋊C₄	—	53	4	no	—
1592	C₄⋊C₄	—	53	4	no	—
1593	C₄⋊C₄	—	53	4	no	—
1594	C₄⋊C₄	—	53	4	no	—
1595	C₄⋊C₄	—	53	4	no	—
1596	C₄⋊C₄	—	53	4	no	—
1597	C₄⋊C₄	—	53	4	no	—
1598	C₄⋊C₄	—	53	4	no	—
1599	C₄⋊C₄	—	53	4	no	—
1600	C₄⋊C₄	—	53	4	no	—
1601	C₄⋊C₄	—	53	4	no	—
1602	C₄⋊C₄	—	53	4	no	—
1603	C₄⋊C₄	—	53	4	no	—
1604	C₄⋊C₄	—	53	4	no	—
1605	C₄⋊C₄	—	53	4	no	—
1606	C₄⋊C₄	—	53	4	no	—
1607	C₄⋊C₄	—	53	4	no	—
1608	C₄⋊C₄	—	53	4	no	—
1609	C₄⋊C₄	—	53	4	no	—
1610	C₄⋊C₄	—	53	4	no	—
1611	C₄⋊C₄	—	53	4	no	—
1612	C₄⋊C₄	—	53	4	no	—
1613	C₄⋊C₄	—	53	4	no	—
1614	C₄⋊C₄	—	53	4	no	—
1615	C₄⋊C₄	—	53	4	no	—
1616	C₄⋊C₄	—	53	4	no	—
1617	C₄⋊C₄	—	53	4	no	—
1618	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1619	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1620	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1621	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1622	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1623	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1624	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1625	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1626	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1627	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1628	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1629	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1630	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1631	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1632	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1633	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
1634	C₂²⋊C₄	—	53	4	no	—
1635	C₂²⋊C₄	—	53	4	no	—
1636	C₂²⋊C₄	—	53	4	no	—
1637	C₂²⋊C₄	—	53	4	no	—
1638	C₂²⋊C₄	—	53	4	no	—
1639	C₂²⋊C₄	—	53	4	no	—
1640	C₂²⋊C₄	—	53	4	no	—
1641	C₂²⋊C₄	—	53	4	no	—
1642	C₂²⋊C₄	—	53	4	no	—
1643	C₂²⋊C₄	—	53	4	no	—
1644	C₂²⋊C₄	—	53	4	no	—
1645	C₂²⋊C₄	—	53	4	no	—
1646	C₂²⋊C₄	—	53	4	no	—
1647	C₂²⋊C₄	—	53	4	no	—
1648	C₂²⋊C₄	—	53	4	no	—
1649	C₂²⋊C₄	—	53	4	no	—
1650	C₂²⋊C₄	—	53	4	no	—
1651	C₂²⋊C₄	—	53	4	no	—
1652	C₂²⋊C₄	—	53	4	no	—
1653	C₂²⋊C₄	—	53	4	no	—
1654	C₂²⋊C₄	—	53	4	no	—
1655	C₂²⋊C₄	—	53	4	no	—
1656	C₂²⋊C₄	—	53	4	no	—
1657	C₂²⋊C₄	—	53	4	no	—
1658	C₂²⋊C₄	—	53	4	no	—
1659	C₂²⋊C₄	—	53	4	no	—
1660	C₂²⋊C₄	—	53	4	no	—
1661	C₂²⋊C₄	—	53	4	no	—
1662	C₂²⋊C₄	—	53	4	no	—
1663	C₂²⋊C₄	—	53	4	no	—
1664	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1665	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1666	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1667	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1668	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1669	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1670	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1671	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
1672	C₄²	—	53	4	no	—
1673	C₄²	—	53	4	no	—
1674	C₄²	—	53	4	no	—
1675	C₄²	—	53	4	no	—
1676	C₄²	—	53	4	no	—
1677	C₄²	—	53	4	no	—
1678	C₄²	—	53	4	no	—
1679	C₄²	—	53	4	no	—
1680	C₄²	—	53	4	no	—
1681	C₄²	—	53	4	no	—
1682	C₄²	—	53	4	no	—
1683	C₄²	—	53	4	no	—
1684	C₄²	—	53	4	no	—
1685	C₄²	—	53	4	no	—
1686	C₄²	—	53	4	no	—
1687	C₄²	—	53	4	no	—
1688	C₄²	—	53	4	no	—
1689	C₄²	C₂³×D₅₃	1	4	yes	—
1690	C₄²	C₂³×D₅₃	1	4	yes	—
1691	C₄²	C₂³×D₅₃	1	4	yes	—
1692	C₄²	C₂³×D₅₃	1	4	yes	—
1693	C₄²	C₂³×D₅₃	1	4	yes	—
1694	C₂³	—	2	2	no	—
1695	C₂³	—	2	2	no	—
1696	C₂³	—	2	2	no	—
1697	C₂³	—	2	2	no	—
1698	C₂³	—	2	2	no	—
1699	C₂³	—	53	4	no	—
1700	C₂³	—	53	2	no	—
1701	C₂³	—	53	2	no	—
1702	C₂³	—	53	2	no	—
1703	C₂³	—	106	8	no	—
1704	C₂³	—	106	2	no	—
1705	C₂³	—	106	2	no	—
1706	C₂³	—	106	8	no	—
1707	C₂³	—	106	2	no	—
1708	C₂³	—	106	2	no	—
1709	C₂³	—	106	2	no	—
1710	C₂³	—	106	2	no	—
1711	C₂³	—	106	2	no	—
1712	C₂³	—	106	2	no	—
1713	C₂³	—	212	4	no	—
1714	C₂³	—	212	16	no	—
1715	C₂³	#41×D₅₃	1	4	yes	—
1716	C₂³	C₂⁴×D₅₃	1	2	yes	—
1717	C₂³	C₂⁴×D₅₃	1	2	yes	—
1718	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1719	Q₈	—	4	4	no	—
1720	Q₈	—	106	8	no	—
1721	Q₈	—	106	8	no	—
1722	Q₈	—	106	8	no	—
1723	Q₈	—	106	8	no	—
1724	Q₈	—	106	8	no	—
1725	Q₈	—	212	4	no	—
1726	Q₈	—	212	4	no	—
1727	Q₈	—	212	4	no	—
1728	D₄	—	2	8	no	—
1729	D₄	—	106	8	no	—
1730	D₄	—	106	8	no	—
1731	D₄	—	106	8	no	—
1732	D₄	—	106	8	no	—
1733	D₄	—	212	4	no	—
1734	D₄	—	212	4	no	—
1735	C₂×C₄	—	2	8	no	—
1736	C₂×C₄	—	2	2	no	—
1737	C₂×C₄	—	2	2	no	—
1738	C₂×C₄	—	2	8	no	—
1739	C₂×C₄	—	2	2	no	—
1740	C₂×C₄	—	2	2	no	—
1741	C₂×C₄	—	2	2	no	—
1742	C₂×C₄	—	2	2	no	—
1743	C₂×C₄	—	2	2	no	—
1744	C₂×C₄	—	2	2	no	—
1745	C₂×C₄	—	2	2	no	—
1746	C₂×C₄	—	2	2	no	—
1747	C₂×C₄	—	2	2	no	—
1748	C₂×C₄	—	2	2	no	—
1749	C₂×C₄	—	2	2	no	—
1750	C₂×C₄	—	4	4	no	—
1751	C₂×C₄	—	4	4	no	—
1752	C₂×C₄	—	53	4	no	—
1753	C₂×C₄	—	53	4	no	—
1754	C₂×C₄	—	53	16	no	—
1755	C₂×C₄	—	53	2	no	—
1756	C₂×C₄	—	53	2	no	—
1757	C₂×C₄	—	53	2	no	—
1758	C₂×C₄	—	53	2	no	—
1759	C₂×C₄	—	53	2	no	—
1760	C₂×C₄	—	53	2	no	—
1761	C₂×C₄	—	53	2	no	—
1762	C₂×C₄	—	53	2	no	—
1763	C₂×C₄	—	53	2	no	—
1764	C₂×C₄	—	53	2	no	—
1765	C₂×C₄	—	53	2	no	—
1766	C₂×C₄	—	53	2	no	—
1767	C₂×C₄	—	53	2	no	—
1768	C₂×C₄	—	106	8	no	—
1769	C₂×C₄	—	106	8	no	—
1770	C₂×C₄	—	106	8	no	—
1771	C₂×C₄	—	106	8	no	—
1772	C₂×C₄	—	106	8	no	—
1773	C₂×C₄	—	106	8	no	—
1774	C₂×C₄	—	106	8	no	—
1775	C₂×C₄	—	106	8	no	—
1776	C₂×C₄	—	106	2	no	—
1777	C₂×C₄	—	106	8	no	—
1778	C₂×C₄	—	106	2	no	—
1779	C₂×C₄	—	106	2	no	—
1780	C₂×C₄	—	106	2	no	—
1781	C₂×C₄	—	106	2	no	—
1782	C₂×C₄	—	106	2	no	—
1783	C₂×C₄	—	106	2	no	—
1784	C₂×C₄	—	106	2	no	—
1785	C₂×C₄	—	106	2	no	—
1786	C₂×C₄	—	106	2	no	—
1787	C₂×C₄	—	106	2	no	—
1788	C₂×C₄	—	212	4	no	—
1789	C₂×C₄	—	212	4	no	—
1790	C₂×C₄	—	212	4	no	—
1791	C₂×C₄	—	212	4	no	—
1792	C₂×C₄	—	212	4	no	—
1793	C₂×C₄	—	212	4	no	—
1794	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1795	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1796	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1797	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1798	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1799	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1800	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1801	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1802	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1803	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1804	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1805	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1806	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
1807	C₂²	—	2	8	no	—
1808	C₂²	—	2	2	no	—
1809	C₂²	—	2	2	no	—
1810	C₂²	—	2	2	no	—
1811	C₂²	—	2	2	no	—
1812	C₂²	—	2	2	no	—
1813	C₂²	—	4	4	no	—
1814	C₂²	—	53	4	no	—
1815	C₂²	—	106	8	no	—
1816	C₂²	—	106	2	no	—
1817	C₂²	—	106	2	no	—
1818	C₂²	—	106	2	no	—
1819	C₂²	—	106	2	no	—
1820	C₂²	—	106	2	no	—
1821	C₂²	—	106	2	no	—
1822	C₂²	—	106	2	no	—
1823	C₂²	—	106	2	no	—
1824	C₂²	—	212	16	no	—
1825	C₂²	—	212	4	no	—
1826	C₂²	—	212	4	no	—
1827	C₂²	C₂×#41×D₅₃	1	4	yes	—
1828	C₂²	C₂×#41×D₅₃	1	2	yes	—
1829	C₂²	2₋¹⁺⁴×D₅₃	1	2	yes	—
1830	C₂²	#16811459	1	2	yes	—
1831	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
1832	C₄	—	2	2	no	—
1833	C₄	—	2	2	no	—
1834	C₄	—	2	2	no	—
1835	C₄	—	2	2	no	—
1836	C₄	—	2	2	no	—
1837	C₄	—	2	2	no	—
1838	C₄	—	2	2	no	—
1839	C₄	—	2	2	no	—
1840	C₄	—	2	2	no	—
1841	C₄	—	2	2	no	—
1842	C₄	—	2	2	no	—
1843	C₄	—	2	2	no	—
1844	C₄	—	2	2	no	—
1845	C₄	—	53	4	no	—
1846	C₄	—	53	4	no	—
1847	C₄	—	106	2	no	—
1848	C₄	—	106	2	no	—
1849	C₄	—	106	2	no	—
1850	C₄	—	106	2	no	—
1851	C₄	—	106	2	no	—
1852	C₄	—	106	2	no	—
1853	C₄	—	106	2	no	—
1854	C₄	—	106	2	no	—
1855	C₄	—	106	2	no	—
1856	C₄	—	106	2	no	—
1857	C₄	—	106	2	no	—
1858	C₂	—	2	4	no	—
1859	C₂	—	4	2	no	—
1860	C₂	—	106	4	no	—
1861	C₂	—	212	2	no	—
1862	C₂	—	212	2	no	—
1863	C₂	#20288458	1	4	yes	direct product factor
1864	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
1865	C₂	C₂×2₋¹⁺⁴×D₅₃	1	1	yes	characteristic
1866	C₂	C₂×#16811459	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₅₃
commutator, cosocle	C₂²×C₅₃	C₂⁶
Frattini	C₂²	C₂⁵×D₅₃
Fitting	C₂×C₅₃×#552	C₂
socle	C₂³×C₅₃	C₂⁵
prime radical	C₂×#16811131	C₂
hypercenter	C₂×#552	D₅₃
hypocenter	C₅₃	C₂×#3495
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂³ ◁ C₂×#552

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #20288458	C₂	direct (N × H)
2. C₂×#16811345	C₂	semidirect
3. C₂×#16811340	C₂	semidirect
4. C₂×#16811329	C₂	semidirect
5. C₂×#16811327	C₂	semidirect
6. C₂×#16811310	C₂	semidirect
7. C₂×#16811309	C₂	semidirect
8. C₂×#16811308	C₂	semidirect
9. C₂×#16811306	C₂	semidirect
10. C₂×#16811306	C₂	semidirect
11. C₂×#16811305	C₂	semidirect
12. C₂×#16811305	C₂	semidirect
13. C₂×#16811302	C₂	semidirect
14. C₂×#16811300	C₂	semidirect
15. C₂×#16811297	C₂	semidirect
16. C₂×#16811296	C₂	semidirect
17. C₂×#16811252	C₂	semidirect
18. C₂×#16811243	C₂	semidirect
19. C₂×#16811239	C₂	semidirect
20. C₂×#16811232	C₂	semidirect
21. C₂×#16811232	C₂	semidirect
22. C₂×#16811195	C₂	semidirect
23. C₂×#16811179	C₂	semidirect
24. C₂×#16811177	C₂	semidirect
25. C₂×#16811156	C₂	semidirect
26. C₂×#16811151	C₂	semidirect
28. C₂²×#13133195	C₂	semidirect
29. C₂×#16811102	C₂	semidirect
30. C₂×#16811100	C₂	semidirect
31. C₂×#117×D₅₃	C₂	semidirect
32. C₂×C₅₃×#552	C₂	semidirect
36. #16811345	C₂²	semidirect
37. #16811340	C₂²	semidirect
38. #16811329	C₂²	semidirect
39. #16811327	C₂²	semidirect
40. #16811310	C₂²	semidirect
41. #16811309	C₂²	semidirect
42. #16811308	C₂²	semidirect
43. #16811306	C₂²	semidirect
44. #16811306	C₂²	semidirect
45. #16811305	C₂²	semidirect
46. #16811305	C₂²	semidirect
47. #16811302	C₂²	semidirect
48. #16811300	C₂²	semidirect
49. #16811297	C₂²	semidirect
50. #16811296	C₂²	semidirect
51. #16811252	C₂²	semidirect
52. #16811243	C₂²	semidirect
53. #16811239	C₂²	semidirect
54. #16811232	C₂²	semidirect
55. #16811232	C₂²	semidirect
56. #16811195	C₂²	semidirect
57. #16811179	C₂²	semidirect
58. #16811177	C₂²	semidirect
59. C₂×#13133216	C₂²	semidirect
60. C₂×#13133216	C₂²	semidirect
61. C₂×#13133216	C₂²	semidirect
62. C₂×#13133216	C₂²	semidirect
63. C₂×#13133215	C₂²	semidirect
64. C₂×#13133215	C₂²	semidirect
65. #16811156	C₂²	semidirect
66. #16811151	C₂²	semidirect
73. C₂×#13133212	C₂²	semidirect
74. C₂×#13133212	C₂²	semidirect
75. C₂×#13133212	C₂²	semidirect
78. C₂×#13133211	C₂²	semidirect
79. C₂×#13133210	C₂²	semidirect
80. C₂×#13133210	C₂²	semidirect
81. C₂×#13133209	C₂²	semidirect
82. C₂×#13133208	C₂²	semidirect
83. C₂×#13133208	C₂²	semidirect
84. C₂×#13133207	C₂²	semidirect
85. C₂×#13133207	C₂²	semidirect
86. C₂×#13133207	C₂²	semidirect
87. C₂×#13133207	C₂²	semidirect
88. C₂×#13133207	C₂²	semidirect
89. C₂×#13133207	C₂²	semidirect
90. C₂×#13133207	C₂²	semidirect
91. C₂×#13133207	C₂²	semidirect
92. C₂×#13133207	C₂²	semidirect
93. C₂×#13133207	C₂²	semidirect
98. C₂×#13133203	C₂²	semidirect
99. C₂×#13133203	C₂²	semidirect
114. C₂×#13133197	C₂²	semidirect
128. C₂×#13133195	C₂²	semidirect
129. C₂×#13133195	C₂²	semidirect
130. C₂×#13133195	C₂²	semidirect
131. C₂×#13133195	C₂²	semidirect
134. C₂×#13133194	C₂²	semidirect
135. C₂×#13133194	C₂²	semidirect
136. C₂×#13133194	C₂²	semidirect
142. #16811102	C₂²	semidirect
143. #16811100	C₂²	semidirect
144. C₂×C₄×Dic₁₀₆	C₂²	semidirect
145. C₂×C₄×Dic₁₀₆	C₂²	semidirect
146. C₂×C₄×Dic₁₀₆	C₂²	semidirect
147. C₂×C₄×Dic₁₀₆	C₂²	semidirect
148. C₂×C₄×Dic₁₀₆	C₂²	semidirect
149. C₂×C₄×Dic₁₀₆	C₂²	semidirect
150. C₂×#13133182	C₂²	semidirect
151. C₂×#13133182	C₂²	semidirect
152. C₂×#13133182	C₂²	semidirect
153. C₂×#13133182	C₂²	semidirect
154. C₂×#13133182	C₂²	semidirect
155. C₂×#13133182	C₂²	semidirect
156. C₂×#13133182	C₂²	semidirect
164. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
169. C₂×#13133177	C₂²	semidirect
176. C₂×#13133175	C₂²	semidirect
181. C₂×#13133174	C₂²	semidirect
182. C₂×#13133174	C₂²	semidirect
188. C₂×#13133173	C₂²	semidirect
189. C₂×#13133173	C₂²	semidirect
190. #117×D₅₃	C₂²	semidirect
193. C₂²×#11719919	C₂²	semidirect
196. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
203. C₅₃×#552	C₂²	semidirect
204. C₂×#126×C₅₃	C₂²	semidirect
205. C₂×#126×C₅₃	C₂²	semidirect
206. C₂×#125×C₅₃	C₂²	semidirect
207. C₂×#125×C₅₃	C₂²	semidirect
208. C₂×#125×C₅₃	C₂²	semidirect
212. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
213. C₂×C₄×Q₈×C₅₃	C₂²	semidirect
217. C₂×#117×C₅₃	C₂²	semidirect
256. #13133216	C₂³	semidirect
257. #13133216	C₂³	semidirect
258. #13133216	C₂³	semidirect
259. #13133216	C₂³	semidirect
260. #13133215	C₂³	semidirect
261. #13133215	C₂³	semidirect
268. #13133212	C₂³	semidirect
269. #13133212	C₂³	semidirect
270. #13133212	C₂³	semidirect
273. #13133211	C₂³	semidirect
274. #13133210	C₂³	semidirect
275. #13133210	C₂³	semidirect
276. #13133209	C₂³	semidirect
277. #13133208	C₂³	semidirect
278. #13133208	C₂³	semidirect
279. #13133207	C₂³	semidirect
280. #13133207	C₂³	semidirect
281. #13133207	C₂³	semidirect
282. #13133207	C₂³	semidirect
283. #13133207	C₂³	semidirect
284. #13133207	C₂³	semidirect
285. #13133207	C₂³	semidirect
286. #13133207	C₂³	semidirect
287. #13133207	C₂³	semidirect
288. #13133207	C₂³	semidirect
293. #13133203	C₂³	semidirect
294. #13133203	C₂³	semidirect
308. #13133197	C₂³	semidirect
322. #13133195	C₂³	semidirect
323. #13133195	C₂³	semidirect
324. #13133195	C₂³	semidirect
327. #13133194	C₂³	semidirect
328. #13133194	C₂³	semidirect
329. #13133194	C₂³	semidirect
335. C₄×Dic₁₀₆	C₂³	semidirect
336. C₄×Dic₁₀₆	C₂³	semidirect
337. C₄×Dic₁₀₆	C₂³	semidirect
338. C₄×Dic₁₀₆	C₂³	semidirect
339. C₄×Dic₁₀₆	C₂³	semidirect
340. C₄×Dic₁₀₆	C₂³	semidirect
341. #13133182	C₂³	semidirect
342. #13133182	C₂³	semidirect
343. #13133182	C₂³	semidirect
344. #13133182	C₂³	semidirect
345. #13133182	C₂³	semidirect
346. #13133182	C₂³	semidirect
347. #13133182	C₂³	semidirect
355. C₄×C₂²⋊D₅₃	C₂³	semidirect
360. #13133177	C₂³	semidirect
367. #13133175	C₂³	semidirect
372. #13133174	C₂³	semidirect
373. #13133174	C₂³	semidirect
379. #13133173	C₂³	semidirect
380. #13133173	C₂³	semidirect
425. C₂×#11719919	C₂³	semidirect
428. C₄⋊C₄×D₅₃	C₂³	semidirect
488. #126×C₅₃	C₂³	semidirect
489. #126×C₅₃	C₂³	semidirect
490. #125×C₅₃	C₂³	semidirect
491. #125×C₅₃	C₂³	semidirect
492. #125×C₅₃	C₂³	semidirect
496. C₂²⋊Q₈×C₅₃	C₂³	semidirect
497. C₄×Q₈×C₅₃	C₂³	semidirect
501. #117×C₅₃	C₂³	semidirect
937. C₂×#552	D₅₃	semidirect
959. C₂×C₅₃	#3495	semidirect
980. #552	C₂×D₅₃	semidirect
1015. C₂×#126	C₂×D₅₃	semidirect
1016. C₂×#126	C₂×D₅₃	semidirect
1030. C₂×#125	C₂×D₅₃	semidirect
1031. C₂×#125	C₂×D₅₃	semidirect
1032. C₂×#125	C₂×D₅₃	semidirect
1080. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1100. C₂×C₄×Q₈	C₂×D₅₃	semidirect
1138. C₂×#117	C₂×D₅₃	semidirect
1152. C₅₃	C₂×#3495	semidirect
1216. #126	C₂²×D₅₃	semidirect
1217. #126	C₂²×D₅₃	semidirect
1231. #125	C₂²×D₅₃	semidirect
1232. #125	C₂²×D₅₃	semidirect
1233. #125	C₂²×D₅₃	semidirect
1279. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1297. C₄×Q₈	C₂²×D₅₃	semidirect
1334. #117	C₂²×D₅₃	semidirect
1863. C₂	#20288458	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#20288458	2
C₂×#16811345	2
C₂×#16811340	2
C₂×#16811329	2
C₂×#16811327	2
C₂×#16811310	2
C₂×#16811309	2
C₂×#16811308	2
C₂×#16811306	2
C₂×#16811305	2
C₂×#16811302	2
C₂×#16811300	2
C₂×#16811297	2
C₂×#16811296	2
C₂×#16811252	2
C₂×#16811243	2
C₂×#16811239	2
C₂×#16811232	2
C₂×#16811195	2
C₂×#16811179	2
C₂×#16811177	2
C₂×#16811156	2
C₂×#16811151	2
C₂×#16811131	2
C₂²×#13133195	2
C₂×#16811102	2
C₂×#16811100	2
C₂×#117×D₅₃	2
C₂×C₅₃×#552	2
C₂×#3495	53

Subgroups — C2×#20288458 #28292516

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20288458 #28292516